{"title":"忆阻器电路的稳态分析","authors":"Z. Kolka, D. Biolek, V. Biolková","doi":"10.1109/RADIOELEK.2011.5936465","DOIUrl":null,"url":null,"abstract":"The paper deals with a frequency-domain model of memristor and its use for the steady-state analysis by means of the harmonic-balance method. The model is based on a polynomial approximation of its flux-charge constitutive relation, allowing analytical formulation of relations between spectral components of stimulus and response, both for periodic and quasi-periodic steady-state conditions. It is not necessary to transform signals between the time and the frequency domains to obtain the memris-tor response. The paper shows a simple implementation of a single-tone model in Matlab using convolution operators. Example analyses demonstrate the model validity.","PeriodicalId":267447,"journal":{"name":"Proceedings of 21st International Conference Radioelektronika 2011","volume":"107 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On steady-state analysis of circuits with memristors\",\"authors\":\"Z. Kolka, D. Biolek, V. Biolková\",\"doi\":\"10.1109/RADIOELEK.2011.5936465\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper deals with a frequency-domain model of memristor and its use for the steady-state analysis by means of the harmonic-balance method. The model is based on a polynomial approximation of its flux-charge constitutive relation, allowing analytical formulation of relations between spectral components of stimulus and response, both for periodic and quasi-periodic steady-state conditions. It is not necessary to transform signals between the time and the frequency domains to obtain the memris-tor response. The paper shows a simple implementation of a single-tone model in Matlab using convolution operators. Example analyses demonstrate the model validity.\",\"PeriodicalId\":267447,\"journal\":{\"name\":\"Proceedings of 21st International Conference Radioelektronika 2011\",\"volume\":\"107 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 21st International Conference Radioelektronika 2011\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RADIOELEK.2011.5936465\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 21st International Conference Radioelektronika 2011","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RADIOELEK.2011.5936465","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On steady-state analysis of circuits with memristors
The paper deals with a frequency-domain model of memristor and its use for the steady-state analysis by means of the harmonic-balance method. The model is based on a polynomial approximation of its flux-charge constitutive relation, allowing analytical formulation of relations between spectral components of stimulus and response, both for periodic and quasi-periodic steady-state conditions. It is not necessary to transform signals between the time and the frequency domains to obtain the memris-tor response. The paper shows a simple implementation of a single-tone model in Matlab using convolution operators. Example analyses demonstrate the model validity.